872167920 has 80 divisors (see below), whose sum is σ = 2911709472. Its totient is φ = 214686720.

The previous prime is 872167903. The next prime is 872167931. The reversal of 872167920 is 29761278.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136651 + ... + 142890.

Almost surely, 2^872167920 is an apocalyptic number.

872167920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

872167920 is an abundant number, since it is smaller than the sum of its proper divisors (2039541552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872167920 is a wasteful number, since it uses less digits than its factorization.

872167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279570 (or 279564 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 872167920 is about 29532.4892279672. The cubic root of 872167920 is about 955.4325571708.

The spelling of 872167920 in words is "eight hundred seventy-two million, one hundred sixty-seven thousand, nine hundred twenty".